= 1
This is because of the trigonometric identity:
sin^2(x) + cos^2(x) = 1
Therefore, when we substitute 2x for x in the equation, we get:
sin^2(2x) + cos^2(2x) = 1
Which simplifies to:
sin(2x)^2 + cos(2x)^2 = 1
Therefore, Sin2x + Cos2x = 1.
= 1
This is because of the trigonometric identity:
sin^2(x) + cos^2(x) = 1
Therefore, when we substitute 2x for x in the equation, we get:
sin^2(2x) + cos^2(2x) = 1
Which simplifies to:
sin(2x)^2 + cos(2x)^2 = 1
Therefore, Sin2x + Cos2x = 1.